For a good glimpse into war crimes trials and their aftermath, read Spandau: The
Secret Diaries by Albert Speer.
While many are tried, and many acquitted, of minor crimes, generally people are not charged with war crimes until an extensive level of investigation that goes far beyond what is involved in researching a Breaking and Entering charge has been conducted. So the innocent are far less likely to be charged with a war crime than those who might be charged with a more mundane crime.
That’s not to say, however, that political expediency plays no part - I just can’t say how much of a part it plays. Albert Speer, for example, was not a Polish-hating, Jew-hating monster, but he definitely contributed to the efficacy of the wartime economy of Nazi Germany with a knowledge of what his efforts might be inflicting on those ethnic/national groups. He let whatever moral judgements he might have made be subsumed by a career and there was no way he was gonna walk.
But he was a cut under Goering and the like (I know Goering beat the hangman, but he did get the sentence).